Acciaro, V. Savin, D. Taous, M. Zekhnini, A.
Published in
Boletín de la Sociedad Matemática Mexicana

Let p and q be two positive primes, let ℓ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell$$\end{document} be an odd positive prime and let F be a quadratic number f...

Jo, Yeongseong
Published in
Forum Mathematicum

In this article, we revisit Rankin–Selberg integrals established by Jacquet, Piatetski-Shapiro and Shalika. We prove the equality of Rankin–Selberg local factors defined with Schwartz–Bruhat functions and the factors attached to good sections, introduced by Piatetski-Shapiro and Rallis. Moreover, we propose a notion of exceptional poles in the fram...

Bergdall, John
Published in
Selecta Mathematica

We study p-adic families of eigenforms for which the p-th Hecke eigenvalue ap\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$a_p$$\end{document} has constant p-adic val...

Longo, Matteo Nicole, Marc-Hubert
Published in
Forum Mathematicum

We relate p-adic families of Jacobi forms to big Heegner points constructed by B. Howard, in the spirit of the Gross–Kohnen–Zagier theorem. We view this as a GL ( 2 ) {\mathrm{GL}(2)} instance of a p-adic Kudla program.

Hofer, Roswitha Pirsic, Ísabel
Published in
Uniform distribution theory

We introduce a hybridization of digital sequences with uniformly distributed sequences in the domain of b-adic integers, ℤb,b ∈ℕ \ {1}, by using such sequences as input for generating matrices. The generating matrices are then naturally required to have finite row-lengths. We exhibit some relations of the ‘classical’ digital method to our extended ...

Hu, Yongquan Paškūnas, Vytautas
Published in
Mathematische Annalen

We prove that certain crystabelline deformation rings of two dimensional residual representations of Gal(Q¯p/Qp)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm ...

Anandavardhanan, U. K. Matringe, Nadir
Published in
Forum Mathematicum

Let E / F {E/F} be a quadratic extension of non-Archimedean local fields of characteristic zero. An irreducible admissible representation π of GL ( n , E ) {\mathrm{GL}(n,E)} is said to be distinguished with respect to GL ( n , F ) {\mathrm{GL}(n,F)} if it admits a non-trivial linear form that is invariant under the action of GL ( n , F ) {\m...

Zhang, Lei
Published in
Science China Mathematics

In this paper, we recreate the Whittaker-Shintani functions for general linear groups over non-archimedean fields given by Kato et al. Those generalized spherical functions naturally arise from global zeta integrals of automorphic L-functions. More explicitly, this formula plays a fundamental role in the local calculation over the split places of t...

Danisman, Yusuf
Published in
Chinese Annals of Mathematics, Series B

The L-factor of irreducible χ1 × χ2 ⋊ σ defined by Piatetski-Shapiro is computed by using non-split Bessel functional.

Wu, Qing Yan Fu, Zun Wei
Published in
Bulletin of the Malaysian Mathematical Sciences Society

In this paper, we establish necessary and sufficient conditions for boundedness of weighted p-adic Hardy operators on p-adic Morrey spaces, p-adic central Morrey spaces and p-adic λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{...